Solution: In 1–8, find a general solution to the

Chapter 4, Problem 7E

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QUESTION:

In Problems , find a general solution to the differential equation using the method of variation of parameters.

                                          \(y^{\prime \prime}+4 y^{\prime}+4 y=e^{-2 t} \ln t\)

Equation Transcription:

Text Transcription:

y''+4y'+4y=e^-2t ln⁡ t

Questions & Answers

QUESTION:

In Problems , find a general solution to the differential equation using the method of variation of parameters.

                                          \(y^{\prime \prime}+4 y^{\prime}+4 y=e^{-2 t} \ln t\)

Equation Transcription:

Text Transcription:

y''+4y'+4y=e^-2t ln⁡ t

ANSWER:

SOLUTION:

Step 1:

In this problem, we are asked to find a general solution to the differential equation using the method of variation of parameters.

The given equation is y’’+4y’+4y=e-2t lnt

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